Rotating Shapes
Learn how rotation works and how to rotate shapes on a grid. Let’s get started! 🚀
Video Lesson
Watch and learn the basics
Flashcards
Review key concepts visually
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🛎️ What Is Rotation?
- A rotation turns a shape around a fixed point called the centre.
- The shape keeps the same size and shape, only its position changes.
🛎️ Rotating Shapes Using Tracing Paper
- Place tracing paper on the shape and mark the centre.
- Turn the paper by the given angle in the correct direction.
🛎️ Rotating Shapes on a Grid
- Draw a line from the centre of rotation to one vertex.
- Turn the line by the given angle, keeping the same distance from the centre.
- Repeat for all vertices and join the points to form the new shape.
🛎️ Describing a Rotation
- Draw perpendicular bisectors of matching points to find the centre of rotation.
- Measure the angle at the centre from the original point to the rotated point.
Practice Questions
Test your understanding
What is the fixed point around which a shape rotates called?
Correct! 🎉 +10 pointsNot quite right
The centre of rotation is the fixed point around which the shape rotates.
What does the angle of rotation describe?
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The angle of rotation describes how far the shape is rotated, measured in degrees.
To rotate a shape 180° around a fixed point, does the direction of rotation matter?
Correct! 🎉 +20 pointsNot quite right
A 180° rotation is the same regardless of the direction of rotation (clockwise or anticlockwise).
If you rotate a shape 90° clockwise, then rotate it another 180° clockwise, what is the final position of the shape?
Correct! 🎉 +20 pointsNot quite right
A 90° clockwise rotation followed by 180° clockwise adds up to 270° clockwise.
What is equivalent to rotating a shape 540° clockwise?
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A 540° rotation is equivalent to a 180° rotation because subtracting 360° (one full turn) from 540° leaves 180°.
Find the centre of rotation.
Correct! 🎉 +30 pointsNot quite right
Draw lines connecting corresponding points from the original and rotated shapes and find their perpendicular bisectors. The intersection of these bisectors shows the centre of rotation at . The original shape is rotated 90 degrees anticlockwise about .
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Interactive Activity
Explore how to rotate a shape on a grid using two different methods
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